Add to ORKGAbstract. Let D be an integral domain with quotient field K and let X be an indeterminate over D. Also, let T: = {Tλ | λ ∈ Λ} be a defining family of quotient rings of D and suppose that ∗ is a finite type star operation on D induced by T. We show that D is a P∗MD (resp., PvMD) if and only if (cD(fg)) ∗ = (cD(f)cD(g)) ∗ (resp., (cD(fg))w = (cD(f)cD(g))w) for all 0 6 = f, g ∈ K[X]. A more general version of this result is given in the semistar operation setting. We give a method for recognizing PvMD’s which are not P∗MD’s for a certain finite type star operation ∗. We study domains D for which the ∗–class group Cl∗(D) equals the t–class group Clt(D) for any finite type star operation ∗, and we indicate examples of PvMD’s D such that Cl∗(D) ...
Let D be a domain with quotient field K. We consider the ring IntD.[ fg Kw X x; f D.:Dx of integer-...
If D is a Krull domain, then it is well known that D is a unique factoriza-tion domain (UFD) if and ...
Given a stable semistar operation of finite type $\star$ on an integral domain $D$, we show that i...
AbstractLet D be an integral domain with quotient field K and let X be an indeterminate over D. Also...
Let $D$ be an integral domain with quotient field $K$ and let $X$ be an indeterminate over $D$. Als...
Abstract. In this note we give a new generalization of the notions of Prüfer domain and PvMD which ...
AbstractLet D be an integral domain with quotient field K, ∗ a star-operation on D, X a nonempty set...
The so-called Prüfer υ-multiplication domains PυMDs are usually defined as domains whose finitely ...
AbstractGiven a stable semistar operation of finite type ⋆ on an integral domain D, we show that it ...
AbstractLet D be an integral domain with quotient field K. The b-operation that associates to each n...
AbstractFor the domain R arising from the construction T, M, D, we relate the star class groups of R...
For the domain $R$ arising from the construction $T, M, D$, we relate the star class groups of $R$ ...
The t-class semigroup of an integral domain is the semigroup of the isomorphy classes of the t-ideal...
Let D be a domain with quotient field K. We consider the ring IntD.[ fg Kw X x; f D.:Dx of integer-...
For the domain $R$ arising from the construction $T, M, D$, we relate the star class groups of $R$ ...
Let D be a domain with quotient field K. We consider the ring IntD.[ fg Kw X x; f D.:Dx of integer-...
If D is a Krull domain, then it is well known that D is a unique factoriza-tion domain (UFD) if and ...
Given a stable semistar operation of finite type $\star$ on an integral domain $D$, we show that i...
AbstractLet D be an integral domain with quotient field K and let X be an indeterminate over D. Also...
Let $D$ be an integral domain with quotient field $K$ and let $X$ be an indeterminate over $D$. Als...
Abstract. In this note we give a new generalization of the notions of Prüfer domain and PvMD which ...
AbstractLet D be an integral domain with quotient field K, ∗ a star-operation on D, X a nonempty set...
The so-called Prüfer υ-multiplication domains PυMDs are usually defined as domains whose finitely ...
AbstractGiven a stable semistar operation of finite type ⋆ on an integral domain D, we show that it ...
AbstractLet D be an integral domain with quotient field K. The b-operation that associates to each n...
AbstractFor the domain R arising from the construction T, M, D, we relate the star class groups of R...
For the domain $R$ arising from the construction $T, M, D$, we relate the star class groups of $R$ ...
The t-class semigroup of an integral domain is the semigroup of the isomorphy classes of the t-ideal...
Let D be a domain with quotient field K. We consider the ring IntD.[ fg Kw X x; f D.:Dx of integer-...
For the domain $R$ arising from the construction $T, M, D$, we relate the star class groups of $R$ ...
Let D be a domain with quotient field K. We consider the ring IntD.[ fg Kw X x; f D.:Dx of integer-...
If D is a Krull domain, then it is well known that D is a unique factoriza-tion domain (UFD) if and ...
Given a stable semistar operation of finite type $\star$ on an integral domain $D$, we show that i...